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Finding the Fourth Proportional to 600.47, 828.05 and 364.45

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Solution

The fourth proportional to 600.47, 828.05 and 364.45 is: 502.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.47 : 828.05 = 364.45 : x
  2. Step 2: Convert to fraction form
    600.47/828.05 = 364.45/x
  3. Step 3: Cross multiply
    600.47x = 828.05 × 364.45
  4. Step 4: Simplify right side
    600.47x = 301,781.66
  5. Step 5: Solve for x
    x = 301,781.66/600.47
  6. Step 6: Final answer
    x = 502.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.